104435113806 has 256 divisors, whose sum is σ = 254383718400. Its totient is φ = 31673980800.

The previous prime is 104435113763. The next prime is 104435113817. The reversal of 104435113806 is 608311534401.

104435113806 is a `hidden beast` number, since 104 + 4 + 3 + 511 + 38 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494953041 + ... + 494953251.

It is an arithmetic number, because the mean of its divisors is an integer number (993686400).

Almost surely, 2^104435113806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104435113806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127191859200).

104435113806 is an abundant number, since it is smaller than the sum of its proper divisors (149948604594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104435113806 is a wasteful number, since it uses less digits than its factorization.

104435113806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 104435113806 in words is "one hundred four billion, four hundred thirty-five million, one hundred thirteen thousand, eight hundred six".